147385728 has 192 divisors, whose sum is σ = 495924000. Its totient is φ = 41997312.

The previous prime is 147385727. The next prime is 147385769. The reversal of 147385728 is 827583741.

147385728 is a `hidden beast` number, since 1 + 4 + 73 + 8 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×147385728³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147385727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394950 + ... + 395322.

Almost surely, 2^147385728 is an apocalyptic number.

147385728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247962000).

147385728 is an abundant number, since it is smaller than the sum of its proper divisors (348538272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

147385728 is an equidigital number, since it uses as much as digits as its factorization.

147385728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 385 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 147385728 is about 12140.2523861739. The cubic root of 147385728 is about 528.2244225037.

The spelling of 147385728 in words is "one hundred forty-seven million, three hundred eighty-five thousand, seven hundred twenty-eight".